{"id":"https://openalex.org/W2767124673","doi":"https://doi.org/10.37236/6106","title":"Non-Linear Maximum Rank Distance Codes in the Cyclic Model for the Field Reduction of Finite Geometries","display_name":"Non-Linear Maximum Rank Distance Codes in the Cyclic Model for the Field Reduction of Finite Geometries","publication_year":2017,"publication_date":"2017-06-02","ids":{"openalex":"https://openalex.org/W2767124673","doi":"https://doi.org/10.37236/6106","mag":"2767124673"},"language":"en","primary_location":{"id":"doi:10.37236/6106","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6106","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/6106","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051731775","display_name":"Nicola Durante","orcid":"https://orcid.org/0000-0003-4886-7474"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Nicola Durante","raw_affiliation_strings":["Universit\u00e0 degli Studi di Napoli \"Federico II\"","Universit\u00e0 degli Studi di Napoli \u2018\u2018Federico II\u201d"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Napoli \"Federico II\"","institution_ids":["https://openalex.org/I71267560"]},{"raw_affiliation_string":"Universit\u00e0 degli Studi di Napoli \u2018\u2018Federico II\u201d","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021897515","display_name":"Alessandro Siciliano","orcid":"https://orcid.org/0000-0002-6042-3377"},"institutions":[{"id":"https://openalex.org/I20272500","display_name":"University of Basilicata","ror":"https://ror.org/03tc05689","country_code":"IT","type":"education","lineage":["https://openalex.org/I20272500"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Siciliano","raw_affiliation_strings":["Universit\u00e0 degli Studi della Basilicata","Universita degli Studi della Basilicata"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi della Basilicata","institution_ids":["https://openalex.org/I20272500"]},{"raw_affiliation_string":"Universita degli Studi della Basilicata","institution_ids":["https://openalex.org/I20272500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051731775"],"corresponding_institution_ids":["https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":0.219,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6010647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"24","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.8295594453811646},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.765294075012207},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6838425397872925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6828267574310303},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.49297499656677246},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4910855293273926},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.4443514347076416},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4168316721916199},{"id":"https://openalex.org/keywords/bilinear-form","display_name":"Bilinear form","score":0.4152054190635681},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3983573019504547},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37927353382110596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2454032599925995},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14851388335227966},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0908861756324768}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.8295594453811646},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.765294075012207},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6838425397872925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6828267574310303},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.49297499656677246},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4910855293273926},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.4443514347076416},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4168316721916199},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.4152054190635681},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3983573019504547},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37927353382110596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2454032599925995},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14851388335227966},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0908861756324768}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/6106","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6106","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1704.02110","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1704.02110","pdf_url":"https://arxiv.org/pdf/1704.02110","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2767124673","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1704.02110","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:iris.unibas.it:11563/128537","is_oa":false,"landing_page_url":"http://hdl.handle.net/11563/128537","pdf_url":null,"source":{"id":"https://openalex.org/S4377196360","display_name":"CINECA IRIS Institutional Research Information System (University of Basilicata)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20272500","host_organization_name":"University of Basilicata","host_organization_lineage":["https://openalex.org/I20272500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1704.02110","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1704.02110","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/6106","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6106","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.6100000143051147,"display_name":"Life below water"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W604735231","https://openalex.org/W1502102369","https://openalex.org/W1968781124","https://openalex.org/W1996474561","https://openalex.org/W2006989139","https://openalex.org/W2007501212","https://openalex.org/W2014449813","https://openalex.org/W2082506471","https://openalex.org/W2088795845","https://openalex.org/W2092909034","https://openalex.org/W2118040894","https://openalex.org/W2139416652","https://openalex.org/W2152303628","https://openalex.org/W2157738375","https://openalex.org/W2175076659","https://openalex.org/W2247845008","https://openalex.org/W2271283425","https://openalex.org/W2291531694","https://openalex.org/W2579943970","https://openalex.org/W2912810145","https://openalex.org/W2963120842"],"related_works":["https://openalex.org/W2962856894","https://openalex.org/W2544072749","https://openalex.org/W2743327613","https://openalex.org/W2129816082","https://openalex.org/W2281466960","https://openalex.org/W2013746945","https://openalex.org/W2135479167","https://openalex.org/W2169117254","https://openalex.org/W2529341915","https://openalex.org/W2085788417","https://openalex.org/W2155925529","https://openalex.org/W2253768740","https://openalex.org/W2907006411","https://openalex.org/W1968619428","https://openalex.org/W2999794859","https://openalex.org/W2152669486","https://openalex.org/W3160733293","https://openalex.org/W2887564199","https://openalex.org/W1924778869","https://openalex.org/W3166676935"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,47],"construct":[4],"infinite":[5],"families":[6,51],"of":[7,17,20,31,43],"non-linear":[8,54],"maximum":[9,55],"rank":[10,56],"distance":[11,57],"codes":[12,33,58],"by":[13,34,61],"using":[14,35],"the":[15,36,40,53],"setting":[16],"bilinear":[18],"forms":[19],"a":[21,28],"finite":[22,44],"vector":[23],"space.":[24],"We":[25],"also":[26],"give":[27],"geometric":[29],"description":[30],"such":[32],"cyclic":[37],"model":[38],"for":[39],"field":[41],"reduction":[42],"geometries":[45],"and":[46,64],"show":[48],"that":[49],"these":[50],"contain":[52],"recently":[59],"provided":[60],"Cossidente,":[62],"Marino":[63],"Pavese.":[65]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}